1681105077161 has 2 divisors, whose sum is σ = 1681105077162. Its totient is φ = 1681105077160.

The previous prime is 1681105077103. The next prime is 1681105077181. The reversal of 1681105077161 is 1617705011861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1549698827161 + 131406250000 = 1244869^2 + 362500^2 .

It is an emirp because it is prime and its reverse (1617705011861) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1681105077161 - 2³⁴ = 1663925207977 is a prime.

It is a super-2 number, since 2×1681105077161² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1681105077101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840552538580 + 840552538581.

It is an arithmetic number, because the mean of its divisors is an integer number (840552538581).

Almost surely, 2^{1681105077161} is an apocalyptic number.

It is an amenable number.

1681105077161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1681105077161 is an equidigital number, since it uses as much as digits as its factorization.

1681105077161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 44.

The spelling of 1681105077161 in words is "one trillion, six hundred eighty-one billion, one hundred five million, seventy-seven thousand, one hundred sixty-one".